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149958560 = 255937241
BaseRepresentation
bin10001111000000…
…10111110100000
3101110011200110202
420330002332200
5301342133220
622514044332
73500424653
oct1074027640
9343150422
10149958560
11777140a4
12422796a8
13250b609b
1415cb789a
15d272275
hex8f02fa0

149958560 has 24 divisors (see below), whose sum is σ = 354277476. Its totient is φ = 59983360.

The previous prime is 149958559. The next prime is 149958569. The reversal of 149958560 is 65859941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142754704 + 7203856 = 11948^2 + 2684^2 .

It is not an unprimeable number, because it can be changed into a prime (149958569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 468461 + ... + 468780.

Almost surely, 2149958560 is an apocalyptic number.

149958560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149958560 is an abundant number, since it is smaller than the sum of its proper divisors (204318916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149958560 is an equidigital number, since it uses as much as digits as its factorization.

149958560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937256 (or 937248 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 149958560 is about 12245.7568161384. The cubic root of 149958560 is about 531.2803505613.

The spelling of 149958560 in words is "one hundred forty-nine million, nine hundred fifty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 937241 1874482 3748964 4686205 7497928 9372410 14995856 18744820 29991712 37489640 74979280 149958560